This paper analyses the reliability of a cold standby system consisting of two repairable units, a switch and a repairman. At any time, one of the two units is operating while the other is on cold standby. The repairman may not always at the job site, or take vacation. We assume that shocks can attack the operating unit. The arrival times of the shocks follow a homogeneous Poisson process and t...

-out-ofsystems with cold standby units are typically studied for unit lifetime distributions that allow analytical tractability. Often, however, these distributions differ signi cantly from reality. In this paper, we present an analytical approach to compute the mean failure time for -out-ofsystems with a single cold standby unit for the wide class of lifetime distributions that can be captured...

Most of the studies on reliability characteristics of redundant systems deal with cold standby systems only. Little attention is paid on 2-out-of-3 warm standby system involving three types of failures. In this study models for mean time to system failure and availability have been developed to study the effect of failure rate on some measures of system effectiveness. Using Chapman Kolmogorov’s...

One of the primary concerns in any system design problem is to prepare a highly reliable system with minimum cost. One way to increase the reliability of systems is to use redundancy in different forms such as active or standby. In this paper, a new nonlinear multi- objective integer programming model with the choice of redundancy strategy and component type is developed where standby strategy ...

This paper deals with the transient analysis of K-out-of-N: G system consisting of Noperatingmachines. To improve system reliability, Y cold standby and S warm standbys spares areprovided to replace the failed machines. The machines are assumed to fail in multiple modes. At leastK-out-of-N machines for smooth functioning of the system. Reliability and mean time to failure areestablished in term...

Among the diierent r/n redundancies, it is necessary to distinguish between the (classic) case of active redundancies (hot standby) and the case of passive redundancies (cold standby) presenting failures at calling instant. This paper deals with passive redundancy including such solicitation failures: redundancy elements only operate in case of the failure of initial elements and have a non neg...

The concerned paper illustrates the comparison of two stochastic models of a cable manufacturing plant with varying demand. Here, it shows the comparison between a single unit system (Model 1) and a two-unit cold standby system (Model 2). In Model 1, the system is either in working state on some demand or put to shut down mode on no demand. In Model 2, at initial stage, one of the units is oper...

Functionality for efficient computation of properties of system lifetimes was developed, based on the Mathematica framework. The model of these systems consists of a system structure and the component’s independent lifetime distributions. The components are assumed to be non-repairable. In this work a very general implementation was created, allowing a large number of lifetime distributions fro...